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id 2836
authors Dunham, Douglas
year 2004
title COMPUTER DESIGN OF REPEATING HYPERBOLIC PATTERNS
source Proceedings of the Fourth International Conference of Mathematics & Design, Special Edition of the Journal of Mathematics & Design, Volume 4, No.1, pp. 83-90.
summary From antiquity, humans have created 2-dimensional art on flat surfaces (the Euclidean plane) and on surfaces of spheres. However, it wasn't until about 50 years ago that designers have created art in the third "classical geometry", the hyperbolic plane. Inspired by a diagram from the mathematician H. S. M. Coxeter, the graphic artist M. C. Escher became the first person to design such patterns, performing all the needed constructions laboriously by hand. In order to exhibit the true hyperbolic nature of such art, the pattern must exhibit symmetry and repetition. It seems natural to use a computer to avoid the tedious hand constructions performed by Escher. This was our goal: to design and implement a computer program to create repeating hyperbolic patterns.
series other
type normal paper
email ddunham@d.umn.edu
full text file.pdf ( bytes)
references Content-type: text/plain
last changed 2005/04/07 10:49
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